RT Journal Article
T1 Invariant Tensors Formulae via Chord Diagrams
A1 Campoamor-Stursberg, Rutwig
A1 Manturol, V.O.
AB We provide an explicit algorithm to calculate invariant tensors for the adjoint representation of the simple Lie algebra sl(n), as well as arbitrary representation in terms of roots. We also obtain explicit formulae for the adjoint representations of the orthogonal and symplectic Lie algebras so(n) and sp(n).
PB Springer
SN 1072-3374
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/50695
UL https://hdl.handle.net/20.500.14352/50695
LA eng
NO D.Bar–Natan, On the Vassiliev Knot invariants, Topology,34 (1995),pp.423–475.D.Bar–Natan, Lie Algebras and The Four Colour Problem,Combinatorica, 17–1 (1997), pp. 43–52.S.V.Chmutov and A.N.Varchenko, Remarks on the Vassiliev Knot Invariants Coming from sl2, Topology, 36 (1997),pp.153–178.V.O.Manturov, The Bracket Semigroup of knots,Mathematical Notes,2000, vol.67,4, pp. 468-478.V.O.Manturov, Lectures on the Theory of Knots and Their Invariants, Moscow, URSS Publishing House, 2001 (in Russian).V.O.Manturov, Chord Diagrams and Invariant Tensors, Proceedings of the 1st Colloquium on Lie Theory and Applications, Vigo, Spain.
DS Docta Complutense
RD 29 abr 2024